Minimum value = 2
Maximum value = 26
Lower quartile = 4
Median = 14
Upper quartile = 20.5
Step-by-step explanation:
Five number summary:
- Minimum value
- Maximum value
- Lower quartile
- Median
- Upper quartile
Assuming the stem is the tens column and the leaves are units, the data values are:
2, 2, 3, 5, 7, 13, 15, 16, 20, 21, 24, 26
Minimum value = 2
Maximum value = 26
Median - middle value
As there is an even number of data values, the median is the mean of the 6th and 7th data values.
Median = (13 + 15) ÷ 2 = 14
Lower quartile
As there is an even number of data values, the lower quartile is the mean of the 3rd and 4th data values.
Lower quartile = (3 + 5) ÷ 2 = 4
Upper quartile
As there is an even number of data values, the upper quartile is the mean of the 20th and 21st data values.
Lower quartile = (20 + 21) ÷ 2 = 20.5